Acta Mathematica

, Volume 122, Issue 1, pp 173–195 | Cite as

k-mersions of manifolds

  • Sidnie Dresher Feit
Article

Keywords

Manifold Smooth Manifold Homotopy Class Compact Open Topology Coordinate Neighborhood 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Cairns, S. S.,Smooth approximations to polyhedra. University of Illinois and University of Warwick, mimeographed, 1967.Google Scholar
  2. [2]
    Chern, S. S., On the characteristic classes of Riemann manifolds.Proc. Nat. Acad. Sci. U.S.A., 33 (1947), 78–82.MATHMathSciNetCrossRefGoogle Scholar
  3. [3]
    Hirsch, M. W., Immersions of manifolds.Trans. Amer. Math. Soc., 23 (1959), 242–276.MathSciNetCrossRefGoogle Scholar
  4. [4]
    Lima, E., On the local triviality of the restriction map for embeddings.Comm. Math. Helv., 38 (1964), 163–164.MATHMathSciNetGoogle Scholar
  5. [5]
    Milnor, J.,Morse Theory. Princeton, Princeton Univ. Press, 1963.MATHGoogle Scholar
  6. [6]
    Palais, R., Local triviality of the restriction map for embeddings.Comm. Math. Helv., 34 (1960), 305–312.MATHMathSciNetGoogle Scholar
  7. [7]
    Phillips, A., Submersions of open manifolds.Topology 6 (1967), 171–206.MATHMathSciNetCrossRefGoogle Scholar
  8. [8]
    Poenaru, V.,Regular homotopy and isotopy. Harvard University, mimeographed, 1964.Google Scholar
  9. [9]
    Smale, S., Regular curves on Riemannian manifolds.Trans. Amer. Math. Soc., 87 (1958), 492–512.MATHMathSciNetCrossRefGoogle Scholar
  10. [10]
    —, The classification of immersions of spheres in Euclidean spaces.Ann. of Math., 69 (1959), 327–344.MATHMathSciNetCrossRefGoogle Scholar
  11. [11]
    Tomonaga, Y., Manifolds admitting continuous field of frames.Tohoku Math. J., 2, 1964.Google Scholar
  12. [12]
    Haefliger, A. &Poenaru, V., La classification des immersions combinatoires.Inst. Hautes Études Sci. Publ. Math., 23 (1964), 75–91.MathSciNetGoogle Scholar

Copyright information

© Almqvist & Wiksells Boktryckeri AB 1969

Authors and Affiliations

  • Sidnie Dresher Feit

There are no affiliations available

Personalised recommendations